{"nbformat":4,"nbformat_minor":0,"metadata":{"accelerator":"GPU","colab":{"name":"CH07d_Text_clustering_with_Sentence-BERT.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.8.6"}},"cells":[{"cell_type":"markdown","metadata":{"id":"U5Z7paxvmFR_"},"source":["# Text Clustering with Sentence-BERT"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"oU1zWENzmXK3","executionInfo":{"status":"ok","timestamp":1625403894209,"user_tz":-180,"elapsed":3171,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"325ed669-a072-4714-e284-e7874fd24208"},"source":["!pip3 install sentence-transformers"],"execution_count":23,"outputs":[{"output_type":"stream","text":["Requirement already satisfied: sentence-transformers in /usr/local/lib/python3.7/dist-packages (2.0.0)\n","Requirement already satisfied: huggingface-hub in /usr/local/lib/python3.7/dist-packages (from sentence-transformers) (0.0.13)\n","Requirement already satisfied: torch>=1.6.0 in /usr/local/lib/python3.7/dist-packages (from sentence-transformers) (1.9.0+cu102)\n","Requirement already satisfied: transformers<5.0.0,>=4.6.0 in /usr/local/lib/python3.7/dist-packages (from sentence-transformers) (4.8.2)\n","Requirement already satisfied: scikit-learn in /usr/local/lib/python3.7/dist-packages (from sentence-transformers) (0.22.2.post1)\n","Requirement already satisfied: sentencepiece 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requests->huggingface-hub->sentence-transformers) (2021.5.30)\n","Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests->huggingface-hub->sentence-transformers) (2.10)\n","Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests->huggingface-hub->sentence-transformers) (3.0.4)\n","Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests->huggingface-hub->sentence-transformers) (1.24.3)\n","Requirement already satisfied: click in /usr/local/lib/python3.7/dist-packages (from sacremoses->transformers<5.0.0,>=4.6.0->sentence-transformers) (7.1.2)\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"lQvvIQoP7VQ-","executionInfo":{"status":"ok","timestamp":1625403896677,"user_tz":-180,"elapsed":2473,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"7651ea1a-48ab-4cee-daff-a7934ad7a0c1"},"source":["!pip install datasets"],"execution_count":24,"outputs":[{"output_type":"stream","text":["Requirement already satisfied: datasets in /usr/local/lib/python3.7/dist-packages (1.8.0)\n","Requirement already satisfied: pyarrow<4.0.0,>=1.0.0 in /usr/local/lib/python3.7/dist-packages (from datasets) (3.0.0)\n","Requirement already satisfied: pandas in /usr/local/lib/python3.7/dist-packages (from datasets) (1.1.5)\n","Requirement already satisfied: xxhash in /usr/local/lib/python3.7/dist-packages (from datasets) (2.0.2)\n","Requirement already satisfied: dill in /usr/local/lib/python3.7/dist-packages (from datasets) (0.3.4)\n","Requirement already satisfied: huggingface-hub<0.1.0 in /usr/local/lib/python3.7/dist-packages (from datasets) (0.0.13)\n","Requirement already satisfied: importlib-metadata; python_version < \"3.8\" in /usr/local/lib/python3.7/dist-packages (from datasets) (4.5.0)\n","Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.7/dist-packages (from datasets) (1.21.0)\n","Requirement already satisfied: fsspec in /usr/local/lib/python3.7/dist-packages (from datasets) (2021.6.1)\n","Requirement already satisfied: tqdm<4.50.0,>=4.27 in /usr/local/lib/python3.7/dist-packages (from datasets) (4.41.1)\n","Requirement already satisfied: packaging in /usr/local/lib/python3.7/dist-packages (from datasets) (20.9)\n","Requirement already satisfied: requests>=2.19.0 in /usr/local/lib/python3.7/dist-packages (from datasets) (2.23.0)\n","Requirement already satisfied: multiprocess in /usr/local/lib/python3.7/dist-packages (from datasets) (0.70.12.2)\n","Requirement already satisfied: pytz>=2017.2 in /usr/local/lib/python3.7/dist-packages (from pandas->datasets) (2018.9)\n","Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas->datasets) (2.8.1)\n","Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from huggingface-hub<0.1.0->datasets) (3.7.4.3)\n","Requirement already satisfied: filelock in /usr/local/lib/python3.7/dist-packages (from huggingface-hub<0.1.0->datasets) (3.0.12)\n","Requirement already satisfied: zipp>=0.5 in /usr/local/lib/python3.7/dist-packages (from importlib-metadata; python_version < \"3.8\"->datasets) (3.4.1)\n","Requirement already satisfied: pyparsing>=2.0.2 in /usr/local/lib/python3.7/dist-packages (from packaging->datasets) (2.4.7)\n","Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->datasets) (3.0.4)\n","Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->datasets) (2.10)\n","Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->datasets) (1.24.3)\n","Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->datasets) (2021.5.30)\n","Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas->datasets) (1.15.0)\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"TkZtCC-QmXK_","executionInfo":{"status":"ok","timestamp":1625403896678,"user_tz":-180,"elapsed":7,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":["import pandas as pd, numpy as np\n","import torch, os\n","from datasets import load_dataset"],"execution_count":25,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"mNL2jnqa5dlE","executionInfo":{"status":"ok","timestamp":1625403897470,"user_tz":-180,"elapsed":796,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"d7378faa-6016-4f0f-f9f0-491bc5b1f8f3"},"source":["dataset = load_dataset(\"amazon_polarity\",split=\"train\")"],"execution_count":26,"outputs":[{"output_type":"stream","text":["Reusing dataset amazon_polarity (/root/.cache/huggingface/datasets/amazon_polarity/amazon_polarity/3.0.0/ac31acedf6cda6bc2aa50d448f48bbad69a3dd8efc607d2ff1a9e65c2476b4c1)\n"],"name":"stderr"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"jpPHBQjQ2X7D","executionInfo":{"status":"ok","timestamp":1625403897765,"user_tz":-180,"elapsed":6,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"cc5d6cb6-fc62-4904-fd2e-40e5f2501fb2"},"source":["dataset"],"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Dataset({\n","    features: ['content', 'label', 'title'],\n","    num_rows: 3600000\n","})"]},"metadata":{"tags":[]},"execution_count":27}]},{"cell_type":"code","metadata":{"id":"SBgUpNwI8BWS","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1625403899512,"user_tz":-180,"elapsed":711,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"6249c546-e2d2-4153-c8e9-7e64ee921d48"},"source":["corpus=dataset.shuffle(seed=42)[:10000]['content']"],"execution_count":28,"outputs":[{"output_type":"stream","text":["Loading cached shuffled indices for dataset at /root/.cache/huggingface/datasets/amazon_polarity/amazon_polarity/3.0.0/ac31acedf6cda6bc2aa50d448f48bbad69a3dd8efc607d2ff1a9e65c2476b4c1/cache-ef801afe8232c47a.arrow\n"],"name":"stderr"}]},{"cell_type":"code","metadata":{"id":"zmI8AJrfd8oz","executionInfo":{"status":"ok","timestamp":1625403901140,"user_tz":-180,"elapsed":3,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":[""],"execution_count":28,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"PpVT5FW18enn","executionInfo":{"status":"ok","timestamp":1625403903056,"user_tz":-180,"elapsed":616,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"c9b22f83-2f85-449b-b4b6-a07a7e95f577"},"source":["pd.Series([len(e.split()) for e in corpus]).hist()"],"execution_count":29,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.axes._subplots.AxesSubplot at 0x7f7ccad0f7d0>"]},"metadata":{"tags":[]},"execution_count":29},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAX0AAAD4CAYAAAAAczaOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAPjElEQVR4nO3dX4xc5XnH8e9TnEQIotrU6coyVpdWViWnVh26AktF1SIk4z+VTKQKgVAwlNa9MGoi7UWd5IIoKJJvnKhIiVWnWJgqxUJKEFZslbpWRogLEkxEbQyldsAIW8ZuakpiqNIufXoxr9vB7OzMrndnzvJ+P9JozrznPee88/jsb2bOHJ+JzESSVIdfG/YAJEmDY+hLUkUMfUmqiKEvSRUx9CWpIouGPYDpLF26NEdHR3v2e++997jmmmvmf0ALnHXqj3XqzRr1Z1h1evHFF3+emZ+Zal6jQ390dJQjR4707NdqtRgfH5//AS1w1qk/1qk3a9SfYdUpIt7sNs/DO5JUEUNfkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVJFG/4/chWp0+4GhbfvUjk1D27ak5vOdviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVBFDX5IqYuhLUkUMfUmqiKEvSRUx9CWpIoa+JFXE0Jekihj6klQRQ1+SKtIz9CNiRUT8KCJeiYjjEfHF0n5dRByKiBPlfklpj4h4JCJORsTRiLixY11bSv8TEbFl/p6WJGkq/bzTnwQmMnMVsBbYFhGrgO3A4cxcCRwujwE2ACvLbSuwC9ovEsBDwM3ATcBDl14oJEmD0TP0M/NsZv60TP8SeBVYDmwG9pZue4E7yvRm4PFsex5YHBHLgNuBQ5l5ITPfAQ4B6+f02UiSprVoJp0jYhT4HPBjYCQzz5ZZbwMjZXo58FbHYqdLW7f2y7exlfYnBEZGRmi1Wj3HdfHixb76DcrE6smhbXu6OjStTk1lnXqzRv1pYp36Dv2IuBb4PvClzPxFRPzfvMzMiMi5GFBm7gZ2A4yNjeX4+HjPZVqtFv30G5T7th8Y2rZP3TPedV7T6tRU1qk3a9SfJtapr7N3IuITtAP/e5n5g9J8rhy2odyfL+1ngBUdi19f2rq1S5IGpJ+zdwJ4FHg1M7/ZMWs/cOkMnC3A0x3t95azeNYC75bDQM8A6yJiSfkCd11pkyQNSD+Hd/4Q+AJwLCJeKm1fAXYAT0bEA8CbwJ1l3kFgI3ASeB+4HyAzL0TEw8ALpd/XM/PCnDwLSVJfeoZ+Zj4HRJfZt03RP4FtXda1B9gzkwFKkuaO/yNXkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVBFDX5IqYuhLUkUMfUmqiKEvSRUx9CWpIoa+JFVkRr+Rq+YbneanGidWT87bTzme2rFpXtYraW75Tl+SKmLoS1JFDH1JqoihL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVBFDX5IqYuhLUkUMfUmqiKEvSRUx9CWpIoa+JFVkUa8OEbEH+GPgfGb+Xmn7GvDnwL+Vbl/JzINl3peBB4APgL/MzGdK+3rgr4GrgL/NzB1z+1Q0TKPbDwxlu6d2bBrKdqWFqp93+o8B66do/1Zmrim3S4G/CrgL+GxZ5jsRcVVEXAV8G9gArALuLn0lSQPU851+Zj4bEaN9rm8zsC8zfwW8EREngZvKvJOZ+TpAROwrfV+Z8YglSbPWM/Sn8WBE3AscASYy8x1gOfB8R5/TpQ3grcvab55qpRGxFdgKMDIyQqvV6jmQixcv9tVvUCZWTw57CFMaubq5Y5ut+fh3b9r+1ETWqD9NrNNsQ38X8DCQ5X4n8KdzMaDM3A3sBhgbG8vx8fGey7RaLfrpNyj3Den4di8TqyfZeexKXueb59Q943O+zqbtT01kjfrTxDrNKgEy89yl6Yj4LvDD8vAMsKKj6/WljWnaJUkDMqtTNiNiWcfDzwMvl+n9wF0R8amIuAFYCfwEeAFYGRE3RMQnaX/Zu3/2w5YkzUY/p2w+AYwDSyPiNPAQMB4Ra2gf3jkF/AVAZh6PiCdpf0E7CWzLzA/Keh4EnqF9yuaezDw+589GkjStfs7euXuK5ken6f8N4BtTtB8EDs5odJKkOeX/yJWkihj6klQRQ1+SKmLoS1JFDH1JqoihL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVBFDX5IqYuhLUkUMfUmqiKEvSRUx9CWpIoa+JFXE0Jekihj6klSRRcMegHQlRrcfmPN1Tqye5L4+1ntqx6Y537Y033ynL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFekZ+hGxJyLOR8TLHW3XRcShiDhR7peU9oiIRyLiZEQcjYgbO5bZUvqfiIgt8/N0JEnT6eed/mPA+svatgOHM3MlcLg8BtgArCy3rcAuaL9IAA8BNwM3AQ9deqGQJA1Oz9DPzGeBC5c1bwb2lum9wB0d7Y9n2/PA4ohYBtwOHMrMC5n5DnCIj76QSJLm2WyP6Y9k5tky/TYwUqaXA2919Dtd2rq1S5IG6IqvspmZGRE5F4MBiIittA8NMTIyQqvV6rnMxYsX++o3KBOrJ4c9hCmNXN3csTVJv3Vq0j43aE37m2uqJtZptqF/LiKWZebZcvjmfGk/A6zo6Hd9aTsDjF/W3ppqxZm5G9gNMDY2luPj41N1+5BWq0U//Qaln8vyDsPE6kl2HvNq2r30W6dT94zP/2Aaqml/c03VxDrN9vDOfuDSGThbgKc72u8tZ/GsBd4th4GeAdZFxJLyBe660iZJGqCeb2ci4gna79KXRsRp2mfh7ACejIgHgDeBO0v3g8BG4CTwPnA/QGZeiIiHgRdKv69n5uVfDksLynz8gEs//PEWXYmeoZ+Zd3eZddsUfRPY1mU9e4A9MxqdJGlOfawP8A7rnZgkNZWXYZCkihj6klQRQ1+SKmLoS1JFDH1JqoihL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVBFDX5IqYuhLUkUMfUmqiKEvSRVZNOwBSJqZ0e0HhrbtUzs2DW3bmhu+05ekihj6klQRQ1+SKmLoS1JFDH1JqoihL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SarIFYV+RJyKiGMR8VJEHClt10XEoYg4Ue6XlPaIiEci4mREHI2IG+fiCUiS+jcX7/Rvzcw1mTlWHm8HDmfmSuBweQywAVhZbluBXXOwbUnSDMzH4Z3NwN4yvRe4o6P98Wx7HlgcEcvmYfuSpC4iM2e/cMQbwDtAAn+Tmbsj4j8yc3GZH8A7mbk4In4I7MjM58q8w8BfZeaRy9a5lfYnAUZGRv5g3759Pcdx8eJFrr322o+0Hzvz7qyf28fRyNVw7j+HPYrms07drV7+60D3vzl92LDqdOutt77YcfTlQ670l7NuycwzEfGbwKGI+JfOmZmZETGjV5XM3A3sBhgbG8vx8fGey7RaLabqd98Qf2GoiSZWT7LzmD+W1ot1msax9wCYWP0BO597b2CbXai/2NUtm4bpig7vZOaZcn8eeAq4CTh36bBNuT9fup8BVnQsfn1pkyQNyKxDPyKuiYhPX5oG1gEvA/uBLaXbFuDpMr0fuLecxbMWeDczz8565JKkGbuSz7AjwFPtw/YsAv4+M/8hIl4AnoyIB4A3gTtL/4PARuAk8D5w/xVsW5I0C7MO/cx8Hfj9Kdr/HbhtivYEts12e5KkK+f/yJWkihj6klQRQ1+SKmLoS1JFDH1JqoihL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFTH0Jakihr4kVcTQl6SKGPqSVBFDX5IqYuhLUkUMfUmqiKEvSRUx9CWpIoa+JFVk0bAHIEm9jG4/MLRtn9qxaWjbng++05ekihj6klQRQ1+SKmLoS1JFDH1JqoihL0kVMfQlqSKGviRVxNCXpIoY+pJUEUNfkipi6EtSRQYe+hGxPiJei4iTEbF90NuXpJoNNPQj4irg28AGYBVwd0SsGuQYJKlmg7608k3Aycx8HSAi9gGbgVcGPA5J6suVXNZ5YvUk981y+fm6pHNk5ryseMqNRfwJsD4z/6w8/gJwc2Y+2NFnK7C1PPxd4LU+Vr0U+PkcD/fjyDr1xzr1Zo36M6w6/VZmfmaqGY37EZXM3A3snskyEXEkM8fmaUgfG9apP9apN2vUnybWadBf5J4BVnQ8vr60SZIGYNCh/wKwMiJuiIhPAncB+wc8Bkmq1kAP72TmZEQ8CDwDXAXsyczjc7DqGR0Oqph16o916s0a9adxdRroF7mSpOHyf+RKUkUMfUmqyIIOfS/p0F1EnIqIYxHxUkQcKW3XRcShiDhR7pcMe5yDFhF7IuJ8RLzc0TZlXaLtkbJ/HY2IG4c38sHqUqevRcSZsk+9FBEbO+Z9udTptYi4fTijHryIWBERP4qIVyLieER8sbQ3dp9asKHvJR36cmtmruk4T3g7cDgzVwKHy+PaPAasv6ytW102ACvLbSuwa0BjbILH+GidAL5V9qk1mXkQoPzd3QV8tizznfL3WYNJYCIzVwFrgW2lHo3dpxZs6NNxSYfM/C/g0iUd1N1mYG+Z3gvcMcSxDEVmPgtcuKy5W102A49n2/PA4ohYNpiRDleXOnWzGdiXmb/KzDeAk7T/Pj/2MvNsZv60TP8SeBVYToP3qYUc+suBtzoeny5takvgHyPixXJpC4CRzDxbpt8GRoYztMbpVhf3sY96sByW2NNxeNA6ARExCnwO+DEN3qcWcuhrerdk5o20P05ui4g/6pyZ7XN1PV/3MtZlWruA3wHWAGeBncMdTnNExLXA94EvZeYvOuc1bZ9ayKHvJR2mkZlnyv154CnaH7fPXfooWe7PD2+EjdKtLu5jHTLzXGZ+kJn/A3yX/z+EU3WdIuITtAP/e5n5g9Lc2H1qIYe+l3ToIiKuiYhPX5oG1gEv067PltJtC/D0cEbYON3qsh+4t5xxsRZ4t+Mje3UuO/b8edr7FLTrdFdEfCoibqD9JeVPBj2+YYiIAB4FXs3Mb3bMau4+lZkL9gZsBP4V+Bnw1WGPpyk34LeBfy6345dqA/wG7TMJTgD/BFw37LEOoTZP0D408d+0j6c+0K0uQNA+Q+xnwDFgbNjjH3Kd/q7U4Sjt8FrW0f+rpU6vARuGPf4B1ukW2odujgIvldvGJu9TXoZBkiqykA/vSJJmyNCXpIoY+pJUEUNfkipi6EtSRQx9SaqIoS9JFflfs+JIeyZaYu4AAAAASUVORK5CYII=\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"C4DDDCJO1WC-"},"source":["## Model Selection\n","(source link: https://www.sbert.net/docs/pretrained_models.html)\n","The best available models for STS are:\n","\n","* stsb-mpnet-base-v2\n","* stsb-roberta-base-v2\n","* stsb-distilroberta-base-v2\n","* nli-mpnet-base-v2\n","* nli-roberta-base-v2 \n","* nli-distilroberta-base-v2\n","\n","Paraphrase Identification Models\n","* paraphrase-distilroberta-base-v1 - Trained on large scale paraphrase data.\n","* paraphrase-xlm-r-multilingual-v1 - Multilingual version of paraphrase-distilroberta-base-v1, trained on parallel data for 50+ languages. (Teacher: paraphrase-distilroberta-base-v1, Student: xlm-r-base)"]},{"cell_type":"code","metadata":{"id":"EOlthH4MmXLD","executionInfo":{"status":"ok","timestamp":1625403908229,"user_tz":-180,"elapsed":1126,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":["from sentence_transformers import SentenceTransformer\n","model_path=\"paraphrase-distilroberta-base-v1\"\n","#paraphrase-distilroberta-base-v1 - Trained on large scale paraphrase data.\n","model = SentenceTransformer(model_path)"],"execution_count":30,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Fk6JIfJFmXLF","executionInfo":{"status":"ok","timestamp":1625403927050,"user_tz":-180,"elapsed":17421,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"df9dd1de-2178-484b-f2b5-a2b42c135b2e"},"source":["corpus_embeddings = model.encode(corpus)\n","corpus_embeddings.shape"],"execution_count":31,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(10000, 768)"]},"metadata":{"tags":[]},"execution_count":31}]},{"cell_type":"code","metadata":{"id":"B0TiT9ZHroS6","executionInfo":{"status":"ok","timestamp":1625403929520,"user_tz":-180,"elapsed":324,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":[""],"execution_count":31,"outputs":[]},{"cell_type":"code","metadata":{"id":"UtxPV7UWmXLI","executionInfo":{"status":"ok","timestamp":1625403938193,"user_tz":-180,"elapsed":8345,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":["from sklearn.cluster import KMeans\n","K=5\n","kmeans = KMeans(n_clusters=5, random_state=0).fit(corpus_embeddings)"],"execution_count":32,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vI3MEj67mXLJ","executionInfo":{"status":"ok","timestamp":1625403940508,"user_tz":-180,"elapsed":345,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"8e1f545e-f687-4981-9998-ce1f10f708e2"},"source":["import pandas as pd\n","cls_dist=pd.Series(kmeans.labels_).value_counts()\n","cls_dist"],"execution_count":33,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3    2772\n","4    2089\n","0    1911\n","2    1883\n","1    1345\n","dtype: int64"]},"metadata":{"tags":[]},"execution_count":33}]},{"cell_type":"code","metadata":{"id":"mYO3CCE6mXLJ","executionInfo":{"status":"ok","timestamp":1625403943399,"user_tz":-180,"elapsed":3,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":[""],"execution_count":33,"outputs":[]},{"cell_type":"code","metadata":{"id":"cn0reLu1mXLK","executionInfo":{"status":"ok","timestamp":1625403943882,"user_tz":-180,"elapsed":5,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":["import scipy\n","distances = scipy.spatial.distance.cdist(kmeans.cluster_centers_ , corpus_embeddings)"],"execution_count":34,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"mN6XmsbumXLK","executionInfo":{"status":"ok","timestamp":1625403944825,"user_tz":-180,"elapsed":10,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"ca2d5fa7-14af-4201-9634-32f67b2571ba"},"source":["centers={}\n","print(\"Cluster\", \"Size\", \"Center-idx\", \"Center-Example\", sep=\"\\t\\t\")\n","for i,d in enumerate(distances):\n","  ind = np.argsort(d, axis=0)[0]\n","  centers[i]=ind\n","  print(i,cls_dist[i], ind, corpus[ind] ,sep=\"\\t\\t\")"],"execution_count":35,"outputs":[{"output_type":"stream","text":["Cluster\t\tSize\t\tCenter-idx\t\tCenter-Example\n","0\t\t1911\t\t5536\t\tThe sound quality is not good. I used it once and couldn't take the poor audio. I bought this because the cheaper one I bought previously had poor sound quality, but this more expensive one is no better. Save your money for a radio that comes outfitted with the proper connectors.\n","1\t\t1345\t\t3900\t\tThis album like many rock/emo albums is good, but there is nothing innovative about it, some very catchy tunes, good singing, nice rhythm. Awesome to listen to. Worth the buy.\n","2\t\t1883\t\t204\t\tThis DVD looks nice and all but is horrible because it skips and stuff after the first time I watched it. Thumbs down.\n","3\t\t2772\t\t1761\t\tI read this book a while back and thought it was very interesting. It's a good book to read if your tired of just reading love stories all the time.\n","4\t\t2089\t\t1474\t\tThe quality of this product is great, easy to clean and fits my sink perfectly.However, I think it is a little bit expensive.\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"cFAZipEn9304"},"source":["## Visualization of the cluster points"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"f8k1a5UCHX3j","executionInfo":{"status":"ok","timestamp":1625403954782,"user_tz":-180,"elapsed":2878,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"1a1c2222-3b9c-4922-d532-4118e0522a87"},"source":["!pip install umap-learn"],"execution_count":36,"outputs":[{"output_type":"stream","text":["Requirement already satisfied: umap-learn in /usr/local/lib/python3.7/dist-packages (0.5.1)\n","Requirement already satisfied: scipy>=1.0 in /usr/local/lib/python3.7/dist-packages (from umap-learn) (1.4.1)\n","Requirement already satisfied: numba>=0.49 in /usr/local/lib/python3.7/dist-packages (from umap-learn) (0.51.2)\n","Requirement already satisfied: numpy>=1.17 in /usr/local/lib/python3.7/dist-packages (from umap-learn) (1.21.0)\n","Requirement already satisfied: pynndescent>=0.5 in /usr/local/lib/python3.7/dist-packages (from umap-learn) (0.5.2)\n","Requirement already satisfied: scikit-learn>=0.22 in /usr/local/lib/python3.7/dist-packages (from umap-learn) (0.22.2.post1)\n","Requirement already satisfied: setuptools in /usr/local/lib/python3.7/dist-packages (from numba>=0.49->umap-learn) (57.0.0)\n","Requirement already satisfied: llvmlite<0.35,>=0.34.0.dev0 in /usr/local/lib/python3.7/dist-packages (from numba>=0.49->umap-learn) (0.34.0)\n","Requirement already satisfied: joblib>=0.11 in /usr/local/lib/python3.7/dist-packages (from pynndescent>=0.5->umap-learn) (1.0.1)\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":504},"id":"Q0LUBO_wuc25","executionInfo":{"status":"ok","timestamp":1625403983064,"user_tz":-180,"elapsed":23071,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"9e502add-5472-4537-98d7-db44548bc803"},"source":["import matplotlib.pyplot as plt\n","import umap\n","X = umap.UMAP(n_components=2, min_dist=0.0).fit_transform(corpus_embeddings)\n","labels= kmeans.labels_\n","\n","fig, ax = plt.subplots(figsize=(12, 8))\n","plt.scatter(X[:,0], X[:,1], c=labels, s=1, cmap='Paired')\n","for c in centers:\n","  plt.text(X[centers[c],0], X[centers[c], 1], \"CLS-\"+ str(c), fontsize=24) \n","plt.colorbar()"],"execution_count":37,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.colorbar.Colorbar at 0x7f7ce6957910>"]},"metadata":{"tags":[]},"execution_count":37},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 2 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"hofF3_pU4B7_","executionInfo":{"status":"ok","timestamp":1625403989320,"user_tz":-180,"elapsed":511,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":[""],"execution_count":37,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"C5Prcvw-1ta2"},"source":["## Topic Modeling with BERT\n","\n","BERTopic Official NOTE: BERTopic is stocastich which means that the topics might differ across runs. This is mostly due to the stocastisch nature of UMAP."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"pubZmmeF13FK","executionInfo":{"status":"ok","timestamp":1625403992919,"user_tz":-180,"elapsed":3147,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"6cfb5b61-2f3a-4799-d821-d204d3d6c59b"},"source":["!pip install bertopic"],"execution_count":38,"outputs":[{"output_type":"stream","text":["Requirement already satisfied: bertopic in /usr/local/lib/python3.7/dist-packages (0.8.1)\n","Requirement already satisfied: hdbscan>=0.8.27 in /usr/local/lib/python3.7/dist-packages (from bertopic) (0.8.27)\n","Requirement already satisfied: scikit-learn>=0.22.2.post1 in /usr/local/lib/python3.7/dist-packages (from bertopic) (0.22.2.post1)\n","Requirement already satisfied: umap-learn>=0.5.0 in /usr/local/lib/python3.7/dist-packages (from bertopic) (0.5.1)\n","Requirement already satisfied: sentence-transformers>=0.4.1 in /usr/local/lib/python3.7/dist-packages (from bertopic) (2.0.0)\n","Requirement already satisfied: numpy>=1.20.0 in /usr/local/lib/python3.7/dist-packages (from bertopic) (1.21.0)\n","Requirement already satisfied: tqdm>=4.41.1 in /usr/local/lib/python3.7/dist-packages (from bertopic) (4.41.1)\n","Requirement already satisfied: plotly<4.14.3,>=4.7.0 in /usr/local/lib/python3.7/dist-packages (from bertopic) (4.14.2)\n","Requirement already satisfied: pandas>=1.1.5 in /usr/local/lib/python3.7/dist-packages (from bertopic) (1.1.5)\n","Requirement already satisfied: scipy>=1.0 in /usr/local/lib/python3.7/dist-packages (from hdbscan>=0.8.27->bertopic) (1.4.1)\n","Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from hdbscan>=0.8.27->bertopic) (1.15.0)\n","Requirement already satisfied: cython>=0.27 in /usr/local/lib/python3.7/dist-packages (from hdbscan>=0.8.27->bertopic) (0.29.23)\n","Requirement already satisfied: joblib>=1.0 in /usr/local/lib/python3.7/dist-packages (from hdbscan>=0.8.27->bertopic) (1.0.1)\n","Requirement already satisfied: numba>=0.49 in /usr/local/lib/python3.7/dist-packages (from umap-learn>=0.5.0->bertopic) (0.51.2)\n","Requirement already satisfied: pynndescent>=0.5 in /usr/local/lib/python3.7/dist-packages (from umap-learn>=0.5.0->bertopic) (0.5.2)\n","Requirement already satisfied: nltk in /usr/local/lib/python3.7/dist-packages (from sentence-transformers>=0.4.1->bertopic) (3.2.5)\n","Requirement already satisfied: sentencepiece in /usr/local/lib/python3.7/dist-packages (from sentence-transformers>=0.4.1->bertopic) (0.1.96)\n","Requirement already satisfied: torch>=1.6.0 in /usr/local/lib/python3.7/dist-packages (from sentence-transformers>=0.4.1->bertopic) (1.9.0+cu102)\n","Requirement already satisfied: huggingface-hub in 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(2.4.7)\n","Requirement already satisfied: click in /usr/local/lib/python3.7/dist-packages (from sacremoses->transformers<5.0.0,>=4.6.0->sentence-transformers>=0.4.1->bertopic) (7.1.2)\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"Q1qjFm47Udd7"},"source":["Official Note: Restart the Notebook\n","After installing BERTopic, some packages that were already loaded were updated and in order to correctly use them, we should now restart the notebook.\n","\n","From the Menu:\n","\n","Runtime → Restart Runtime"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"hcBeLe7gEcw-","executionInfo":{"status":"ok","timestamp":1625403996674,"user_tz":-180,"elapsed":313,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"fd2138d8-e96c-483e-ddd0-0d936327f821"},"source":["len(corpus)"],"execution_count":40,"outputs":[{"output_type":"execute_result","data":{"text/plain":["10000"]},"metadata":{"tags":[]},"execution_count":40}]},{"cell_type":"code","metadata":{"id":"1h9L9-QE1sj-","executionInfo":{"status":"ok","timestamp":1625404033743,"user_tz":-180,"elapsed":35840,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":["from bertopic import BERTopic\n","from sentence_transformers import SentenceTransformer\n","sentence_model = SentenceTransformer(\"paraphrase-distilroberta-base-v1\")\n","topic_model = BERTopic(embedding_model=sentence_model)\n","topics, _ = topic_model.fit_transform(corpus)"],"execution_count":41,"outputs":[]},{"cell_type":"code","metadata":{"id":"BJtgX4mLi5id","executionInfo":{"status":"ok","timestamp":1625404036581,"user_tz":-180,"elapsed":449,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}}},"source":[""],"execution_count":41,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":235},"id":"MUuhDK1n1smY","executionInfo":{"status":"ok","timestamp":1625404036907,"user_tz":-180,"elapsed":4,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"b069fbfe-df9a-48c5-8512-af3bf83f5f94"},"source":["topic_model.get_topic_info()[:6]"],"execution_count":42,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>Topic</th>\n","      <th>Count</th>\n","      <th>Name</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>-1</td>\n","      <td>3119</td>\n","      <td>-1_book_read_books_his</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>0</td>\n","      <td>2041</td>\n","      <td>0_my_product_not_had</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>1</td>\n","      <td>1495</td>\n","      <td>1_movie_film_dvd_watch</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>2</td>\n","      <td>1306</td>\n","      <td>2_album_cd_songs_music</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>3</td>\n","      <td>239</td>\n","      <td>3_game_games_play_graphics</td>\n","    </tr>\n","    <tr>\n","      <th>5</th>\n","      <td>4</td>\n","      <td>143</td>\n","      <td>4_hair_products_skin_used</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["   Topic  Count                        Name\n","0     -1   3119      -1_book_read_books_his\n","1      0   2041        0_my_product_not_had\n","2      1   1495      1_movie_film_dvd_watch\n","3      2   1306      2_album_cd_songs_music\n","4      3    239  3_game_games_play_graphics\n","5      4    143   4_hair_products_skin_used"]},"metadata":{"tags":[]},"execution_count":42}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"IrC2jAhHM_GY","executionInfo":{"status":"ok","timestamp":1625404048155,"user_tz":-180,"elapsed":480,"user":{"displayName":"Savas Yıldırım","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GhdhYZMfq-hvK2xI7HqkzvJuCbfgFrIs4wypQEm5w=s64","userId":"10717726124681851716"}},"outputId":"94217267-647b-43e6-9a12-28a69b1416f5"},"source":["topic_model.get_topic(2)"],"execution_count":44,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[('album', 0.022458465897699162),\n"," ('cd', 0.022357671269330873),\n"," ('songs', 0.0160285876024971),\n"," ('music', 0.015663871869609634),\n"," ('song', 0.013265783250597301),\n"," ('band', 0.008915803010910899),\n"," ('sound', 0.007935450670483247),\n"," ('great', 0.007270445913487295),\n"," ('good', 0.006867072444449145),\n"," ('albums', 0.00664840595331807)]"]},"metadata":{"tags":[]},"execution_count":44}]},{"cell_type":"code","metadata":{"id":"D14m1GP5WMRM"},"source":[""],"execution_count":null,"outputs":[]}]}